\begin{table}[htbp]\centering
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{Logarithm Fan table\label{log\_S}}
\begin{tabular}{l*{8}{c}}
\hline\hline
            &\multicolumn{1}{c}{(1)}&\multicolumn{1}{c}{(2)}&\multicolumn{1}{c}{(3)}&\multicolumn{1}{c}{(4)}&\multicolumn{1}{c}{(5)}&\multicolumn{1}{c}{(6)}&\multicolumn{1}{c}{(7)}&\multicolumn{1}{c}{(8)}\\
            &\multicolumn{1}{c}{log\_fe2\_S6}&\multicolumn{1}{c}{log\_fe2\_S2}&\multicolumn{1}{c}{log\_fe2\_S1}&\multicolumn{1}{c}{log\_fe2\_S3}&\multicolumn{1}{c}{log\_fe2\_S4}&\multicolumn{1}{c}{log\_fe2\_S5}&\multicolumn{1}{c}{log\_fe2\_S7}&\multicolumn{1}{c}{log\_fe2\_S8}\\
\hline
log\_L3\_sd   &       0.303\sym{***}&       0.324\sym{***}&       0.315\sym{***}&       0.325\sym{***}&       0.321\sym{***}&       0.326\sym{***}&       0.313\sym{***}&       0.293\sym{***}\\
            &     (0.076)         &     (0.080)         &     (0.079)         &     (0.078)         &     (0.080)         &     (0.077)         &     (0.076)         &     (0.072)         \\
log\_S6\_L3\_sd&       0.122\sym{***}&                     &                     &                     &                     &                     &                     &                     \\
            &     (0.043)         &                     &                     &                     &                     &                     &                     &                     \\
log\_S2\_L3\_sd&                     &       0.031         &                     &                     &                     &                     &                     &                     \\
            &                     &     (0.043)         &                     &                     &                     &                     &                     &                     \\
log\_S1\_L3\_sd&                     &                     &       0.121\sym{*}  &                     &                     &                     &                     &                     \\
            &                     &                     &     (0.064)         &                     &                     &                     &                     &                     \\
log\_S3\_L3\_sd&                     &                     &                     &      -0.012         &                     &                     &                     &                     \\
            &                     &                     &                     &     (0.033)         &                     &                     &                     &                     \\
log\_S4\_L3\_sd&                     &                     &                     &                     &       0.087         &                     &                     &                     \\
            &                     &                     &                     &                     &     (0.052)         &                     &                     &                     \\
log\_S5\_L3\_sd&                     &                     &                     &                     &                     &      -0.013         &                     &                     \\
            &                     &                     &                     &                     &                     &     (0.062)         &                     &                     \\
log\_S7\_L3\_sd&                     &                     &                     &                     &                     &                     &       0.101\sym{**} &                     \\
            &                     &                     &                     &                     &                     &                     &     (0.046)         &                     \\
log\_S8\_L3\_sd&                     &                     &                     &                     &                     &                     &                     &       0.225\sym{***}\\
            &                     &                     &                     &                     &                     &                     &                     &     (0.082)         \\
\hline
r2          &       0.887         &       0.883         &       0.884         &       0.883         &       0.885         &       0.883         &       0.885         &       0.888         \\
\hline\hline
\multicolumn{9}{l}{\footnotesize Standard errors in parentheses}\\
\multicolumn{9}{l}{\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<.05\), \sym{***} \(p<.01\)}\\
\end{tabular}
\end{table}
